6.The parent function f(x)= /x is translated 2 units right, compressed vertically by a factor of 2, and reflected across the x-axis.

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to…

A: Given data-  C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x).

Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

A:

Q: 15. The constant of proportionality involved in the direct variation of b with c, is 1.2. What is…

A: In this question, c is independent variable where as b is dependent variable. Given, b is directly…

Q: Consider the following function. f(x) = −x2 − 6x − 6 Find its average rate of change over the…

A: Solution : According to the question,     The average rate of change of the function f(x) over an…

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: Suppose x and y are functions of third variable t. In the equation x2+y2=45, what are the values of…

A: In the question it is given that x and y are the function of the variable t in the equation…

Q: 1) Use DESMOS to graph Y = log(x – 3), show critical points. %3D

A:

Q: 4. Suppose f(x) = -3x+ log2x and g(x) = 2*. Find the AROC (average rate of change) of the composite…

A: Given the function is fx=-3x+log2xgx=2x

Q: 2. a. Find relative extrema of the following functions: 2 9x y = х2 — 25 y = x² + 9 Please show…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 2. Informally explain that a function is considered differentiable, if small changes dx, to the…

A:

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

A:

Q: (d) Suppose that the satifaction received from a number of rides taken on a roller coaster 2х+1 is…

A: The satisfaction received from number of rides is given by function where S is the satisfaction…

Q: A firm has the​ marginal-demand function D′(x)=−1200x25−x2​, where​ D(x) is the number of units…

A: Given that: Marginal-demand function = D'(x) = -1200x25-x2 Initial condition: D(4) = 16000 Find the…

Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is…

A: topic - differential equations

Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: e) What are the domain and the range for this situation?

A:

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: The rate at which the risk of Down syndrome is changing is approximated by the function r(x) =…

A:

Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: Use average rate formula

Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: 2.(d) Suppose that the satifaction received from a number of rides taken on a roller coaster .is…

A: Here, function S(x)=200 is independent of x. In other words it does not depends on the number of…

Q: d) Suppose that the satisfaction received from a number of rides taken on a roller coasteris given…

A:

Q: Find the domain of function defined as follows. y = ln(x + 7)

A: Given       y = ln(x + 7)

Q: Suppose the marginal propensity to consume is given by: DC/DY=.03- .2/Square root of (y), (in…

A: We have given dCdy= 0.03 - 0.2y.

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: 3. Suppose that for a company producing r face shields per week, the cost (C) and revenue (R)…

A:

Q: Consider the following problem. A bicyclist is riding on a path modeled by the function  f(x) =…

A: Given thatA bicyclist is riding on a path modeled by the functionfx = 0.03 10x-x2Where x and fx…

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

A:

Q: A particle is moving on the x-axis and the position of the particle at time t is given by x (t),…

A:

Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

A:

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The rate at which the risk of Down syndrome is changing is approximated by the function r(x) =…

A: Given that:   The rate at which the risk of down syndrome is changing is approximated by the…

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = x² –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

A:

Q: Show that a function f decreases most rapidly at x in the direction opposite to the gradier (that…

A: Solve with given conditions

Q: If f(x) = 5x -3 , compute the instontoneus rate of change of Sx) at x-2. OA -3/49 O8.7/41 oc-7/41…

A:

Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a